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arXiv · 2507.01521

Localization of trigonometric polynomials and the Lev-Tselishchev lemma

I. Bochkov
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Abstract

The paper shows that the localization lemma used by N. Lev and A. Tselishchev in solving the problem of constructing quasi-bases from uniformly separated shifts of a function in the space $L^p (\mathbb R) $ for $ p > ( 1 + \sqrt 5 )/2 $, is not carried over to small $p$.

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I. Bochkov. 2025-07-02. Localization of trigonometric polynomials and the Lev-Tselishchev lemma. https://arxiv.org/abs/2507.01521

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